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Phase transitions are often associated with the breaking of a symmetry in the low-temperature phase described by non-vanishing values of certain order parameters. However, in finite-size systems the correlated equilibrium configuration preserves the symmetries of the underlying Hamiltonian. We discuss a method to calculate the statistical distribution of the order parameters without breaking the corresponding symmetries. The maxima of these statistical distributions mimic the phase transitions that are found in a mean-field approximation. We demonstrate the method for the case of shape transitions in atomic nuclei.
Alhassid, Y., Bertsch, G. F., Gilbreth, C. N., & Mustonen, M. T. (2019). Phase transitions in a symmetry-conserving framework. Symmetries and Order: Algebraic Methods in Many Body Systems: A symposium in celebration of the career of Professor Francesco Iachello, 2150 https://doi.org/10.1063/1.5124591
AIP Conference Proceedings
© 2019 Author(s). Published by AIP Publishing.
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